TRANSIENT ANALYSIS OF INTERNET-WORM PROPAGATION BASED ON SIMPLE BIRTH AND DEATH PROCESSES

In this paper, we analyze the transient behavior of Internet worms. We show that a stochastic SIS (Susceptible-Infected-Susceptible) model to describe the Internet-worm propagation can be approximated by a simple birth and death process. Specifically, when there are a huge number of hosts, the propa...

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Bibliographic Details
Published inAdvanced Reliability Modeling II pp. 676 - 683
Main Authors TATEISHI, K., OKAMURA, H., DOHI, T.
Format Book Chapter
LanguageEnglish
Japanese
Published WORLD SCIENTIFIC 01.07.2006
Subjects
VIII. Stochastic Models
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ISBN9814478121
9789812773760
9812567585
9789814478120
9812773762
9789812567581
DOI10.1142/9789812773760_0081

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Summary:In this paper, we analyze the transient behavior of Internet worms. We show that a stochastic SIS (Susceptible-Infected-Susceptible) model to describe the Internet-worm propagation can be approximated by a simple birth and death process. Specifically, when there are a huge number of hosts, the propagation of Internet worms can be modeled by the simple birth and death processes. Deriving the probability generating function of the number of infected hosts, we formulate the probability mass function explicitly, and define some dependability measures for evaluating the transient behavior of Internet worms.
ISBN:9814478121
9789812773760
9812567585
9789814478120
9812773762
9789812567581
DOI:10.1142/9789812773760_0081